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Finding the Fourth Proportional to 194,936.64, 292,169.34 and 94,947

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Solution

The fourth proportional to 194,936.64, 292,169.34 and 94,947 is: 142,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,936.64 : 292,169.34 = 94,947 : x
  2. Step 2: Convert to fraction form
    194,936.64/292,169.34 = 94,947/x
  3. Step 3: Cross multiply
    194,936.64x = 292,169.34 × 94,947
  4. Step 4: Simplify right side
    194,936.64x = 27,740,602,324.98
  5. Step 5: Solve for x
    x = 27,740,602,324.98/194,936.64
  6. Step 6: Final answer
    x = 142,305.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.